A car travels 208 miles on 10 gallons of gasoline. Mentally calculate the number of miles that the car travels on 1 gallon of ga
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The numbers of bars that the team have to get from each company in order for the total cost to be equal is 40.
<h3>What is the purchase about?</h3>Since n = numbers of bars purchase.
y= total cost in dollars
Company A = 0.75n
Company B = 10 + 0.50n
Therefore, to find the numbers of bars that the team would need to purchase from each company in order for the total cost to be equal =
0.75n = 10 + 0.50n
0.2n = 10
n = 40
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Answer:
yes
Step-by-step explanation:
The line intersects each parabola in one point, so is tangent to both.
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For the first parabola, the point of intersection is ...
y^2 = 4(-y-1)
y^2 +4y +4 = 0
(y+2)^2 = 0
y = -2 . . . . . . . . one solution only
x = -(-2)-1 = 1
The point of intersection is (1, -2).
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For the second parabola, the equation is the same, but with x and y interchanged:
x^2 = 4(-x-1)
(x +2)^2 = 0
x = -2, y = 1 . . . . . one point of intersection only
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If the line is not parallel to the axis of symmetry, it is tangent if there is only one point of intersection. Here the line x+y+1=0 is tangent to both y^2=4x and x^2=4y.
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Another way to consider this is to look at the two parabolas as mirror images of each other across the line y=x. The given line is perpendicular to that line of reflection, so if it is tangent to one parabola, it is tangent to both.
